This paper presents an analytical approach based on the power series method for determining the periodic solutions of the forced undamped Duffing's oscillator. The time variable is first transformed into a new harmonically oscillating time which transforms the governing differential equation into a
Analytical condition for chaotic behaviour of the duffing oscillator
β Scribed by Tomasz Kapitaniak
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 183 KB
- Volume
- 144
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
In this paper are presented the computer simulation and the approximate theoretical analysis of the behaviour of the van der Pol-Duffing forced oscillator at the passage through principal resonance, at increasing and decreasing driving frequency. Almostperiodic oscillations, frequency locking, trans
The resonant conditions for the Mathieu}Du$ng oscillator are determined, and the resonant orders for the inside and outside of the generic separatrix are (M : 1) and (2M : 1) respectively. The excitation strength for the onset of a speci"c resonance in the generic separatrix band is predicted analyt